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The third term of the lower central series of a free group as a subgroup of the second

Published online by Cambridge University Press:  09 April 2009

Martin Ward
Martin Ward
Affiliation:
York University4700 Keele Street Downsview 463 Ontario, Canada
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In this paper the following notation will be used: for any group G, positive integer c and non-negative integer n, Gc is the cth term of the lower central series of G and δ nGc is the nth term of the derived series of Gc.

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 16 , Issue 1 , August 1973 , pp. 18 - 23
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Gruenberg, K. W., ‘Residual Properties of Infinite Soluble Groups’, Proc. London Math. Soc. Ser. 3. 7 (1957), 29–62.CrossRefGoogle Scholar
[2]Ward, Martin, ‘Bases for Polynilpotent Groups’, Proc. London Math. Soc. Ser. (3) 24 (1972), 409–431.CrossRefGoogle Scholar